Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem:

Question

Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem:

Maximize contribution = 5X1 + 4X2 + 3X3
Subject to: 1X1 + 7X2 + 4X3 <= 90 (hours on machine 1)

2X1 + 1X2 + 7X3 <= 96 (hours on machine 2)
8X1 + 4X2 + 1X3 <= 90 (hours on machine 3)
X1, X2, X3 >=0

Determine the optimal solution using LP software. the optimal achieved is

X1=
X2=
X3=

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Farah 2 weeks 2021-07-21T05:24:39+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-21T05:26:27+00:00

    Answer:

    Step-by-step explanation:

    \text{Maximize p = 5X1 + 4X2 + 3X3 subject to;} \\ \\ 1X1 + 7X2 + 4X3 <= 90

    2X1 + 1X2 + 7X3 <= 96

    8X1 + 4X2 + 1X3 <= 90

    X1 > = 0

    X2 >= 0

    X3 >=0

    \text{USing LP software, The Optimal Solution: Maximum Contribution} = 90.547;}\\ \\ x1 =  7.07692, \\ \\  x2 = 5.62393,  \\ \\  x3 = 10.8889

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